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Cited by 100Orbital Angular Momentum in OpticsMetamaterials and Metasurfaces ApplicationsQuantum Mechanics and Non-Hermitian Physics

Topological Aberration of Optical Vortex Beams: Determining Dielectric Interfaces by Optical Singularity Shifts

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Dennis, Mark R., Götte, Jörg B.·2012·Physical Review Letters
DOI 10.1103/physrevlett.109.183903
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Abstract

We predict the splitting of a high-order optical vortex into a constellation of unit vortices, upon total internal reflection of the carrier beam, and analyze the splitting. The reflected vortex constellation generalizes, in a local sense, the familiar longitudinal Goos-Hänchen and transverse Imbert-Fedorov shifts of the centroid of a reflected optical beam. The centroid shift is related to the center of the constellation, whose geometry otherwise depends on higher-order terms in an expansion of the reflection matrix. We derive an approximation of the amplitude around the constellation as a complex analytic polynomial, whose roots are the vortices. Increasing the order of the initial vortex gives an Appell sequence of complex polynomials, which we explain by an analogy with the theory of optical aberration.

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Crossref · 10.1103/physrevlett.109.183903

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  • The SAM-IOAM coupling in nonparaxial optical fields is largely independent of how the field was generated; dipole Rayleigh scattering by a small particle generates a similar conical distribution and spin-to-orbital AM conversion.

    “The SAM- IOAM coupling in nonparaxial optical fields is largely independent of how the field was generated. Instead of high-NA focusing, one can consider dipole Rayleigh scattering by a small particle, which generates a similar conical distribution of the outgoing wavevectors, Fig. 2d.”

    From Spin–orbit interactions of light (2015) · cites this paper as [106]

    The discussion on pp. 1–4 concerns topological aberration of paraxial vortex beams, chiefly under dielectric reflection. Although the Fig. 3 caption (p. 4) mentions conical beam geometry, our copy does not address SAM–IOAM coupling in nonparaxial fields, dipole Rayleigh scattering, or spin-to-orbital conversion (searched for scattering and spin–orbital conversion). (LLM, conf=0.76)

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Research works printed but not linked: 8

  1. [1]L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Physical Review A 45 , 8185 (1992).
  2. [3]C. Paterson, Physical Review Letters 94 , 153901 (2005).
  3. [8]J. F. Nye and M. V. Berry, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 336 , 165 (1974).
  4. [21]K. Y. Bliokh and A. S. Desyatnikov, Physical Review A 79 , 011807 (2009).
  5. [22]M. Merano, N. Hermosa, J. P. Woerdman, and A. Aiello, Physical Review A 82 , 023817 (2010).
  6. [26]An alternative, but equivalent definition of the angular shift can be found in A. Aiello and J. P. Woerdman, Optics Letters 33 , 1437 (2008).
  7. [29]M. R. Dennis, Optics Letters 31 , 1325 (2006).
  8. [34]M. Agnew, J. Leach, M. McLaren, F. S. Roux, and R. W. Boyd, Physical Review A 84 , 062101 (2011); W. L¨ offler, A. Aiello, and J. P. Woerdman, 'Observation of oam sidebands due to optical reflection,' (2012), arXiv:physics.optics/1204.4003.

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Authors
Dennis, M. R., & Götte, J. B.
Affiliations
  • University of Bristol (GB)
  • Max Planck Institute for the Physics of Complex Systems (DE)
ORCID
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2012-10-31
Volume
109
Issue
18
Pages
183903-183903
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.109.183903
OpenAlex
W1504289666
Cited by
100
References
35
Citations by year
2026: 2 · 2025: 6 · 2024: 9 · 2023: 6 · 2022: 7 · 2021: 6 · 2020: 8 · 2019: 9 · 2018: 4 · 2017: 6 · 2016: 11 · 2015: 7 · 2014: 7 · 2013: 10 · 2012: 2
FWCI
4.30
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Max Planck Institute for Plasma Physics (submittedVersion)
  • University of Birmingham Research Portal (University of Birmingham) (submittedVersion)
  • MPG.PuRe (Max Planck Society) (submittedVersion)
  • Bristol Research (University of Bristol) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
  • Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
Keywords
optical vortices, total internal reflection, dielectric interfaces, vortex splitting, centroid shift, Goos-Hänchen shift, Imbert-Fedorov shift, reflection matrix, Appell sequences, complex polynomials, singular optics
MeSH terms
Light, Models, Theoretical, Refractometry, Scattering, Radiation, Dielectric Spectroscopy

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